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1212203202001 = 11210129912
BaseRepresentation
bin10001101000111100111…
…100001111010111010001
311021212220112012000001221
4101220330330033113101
5124330043004431001
62324513425325041
7153402345131311
oct21507474172721
94255815160057
101212203202001
11428102118400
12176b24496781
138a4058880ac
144295711d441
15217eb1e91a1
hex11a3cf0f5d1

1212203202001 has 27 divisors (see below), whose sum is σ = 1347103948827. Its totient is φ = 1089990990000.

The previous prime is 1212203201987. The next prime is 1212203202017. The reversal of 1212203202001 is 1002023022121.

It is a happy number.

The square root of 1212203202001 is 1101001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1164670481601 + 47532720400 = 1079199^2 + 218020^2 .

It is not a de Polignac number, because 1212203202001 - 217 = 1212203070929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1212203202031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1223211616 + ... + 1223212606.

Almost surely, 21212203202001 is an apocalyptic number.

1212203202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1212203202001 is the 1101001-st square number.

1212203202001 is the 550501-st centered octagonal number.

It is an amenable number.

1212203202001 is a deficient number, since it is larger than the sum of its proper divisors (134900746826).

1212203202001 is an frugal number, since it uses more digits than its factorization.

1212203202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Multiplying 1212203202001 by its sum of digits (16), we get a square (19395251232016 = 44040042).

Adding to 1212203202001 its reverse (1002023022121), we get a palindrome (2214226224122).

The spelling of 1212203202001 in words is "one trillion, two hundred twelve billion, two hundred three million, two hundred two thousand, one".

Divisors: 1 11 101 121 991 1111 10201 10901 12221 100091 112211 119911 982081 1101001 1234321 10109191 10802891 12111011 99190181 111201101 118831801 1091091991 1223212111 10018208281 12002011901 110200291091 1212203202001